This math topic focuses on practicing skills related to substituting given numbers for variables in linear equation systems. Each problem presents a linear equation with one variable defined, requiring the student to perform simple number substitutions to solve for the unknown variable. The content is framed within an introductory unit on Algebra Systems of Equations, enhancing understanding of forming and solving linear equations by substitution.

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Linear Equation Systems - Simple Number Substitution To Equation Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Number Substitution To Equation (Level 2)'. Part of a broader unit on 'Algebra Systems of Equations - Intro' Learn online: app.mobius.academy/math/units/algebra_systems_of_equations_intro/
1
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 8m + 11p = 137\\p = 11\\m = ?
a A LaTex expression showing 8m + 4 = 137
b A LaTex expression showing 8m + 121 = 137
c A LaTex expression showing 8m + 11 = 137
d A LaTex expression showing 5m + 11 = m
e A LaTex expression showing 2m + 11 = m
f A LaTex expression showing 8m - 5 = 137
2
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 2z + 12r = 120\\r = 9\\z = ?
a A LaTex expression showing 2z + 108 = 120
b A LaTex expression showing 2z - 9 = 120
c A LaTex expression showing 2z + 9 = 120
d A LaTex expression showing 9z + 9 = z
e A LaTex expression showing 2z + 8 = 120
f A LaTex expression showing 6z + 9 = z
3
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 11y + 12n = 106\\n = 7\\y = ?
a A LaTex expression showing 11y + 7 = 106
b A LaTex expression showing 11y + 4 = 106
c A LaTex expression showing 2y + 7 = y
d A LaTex expression showing 11y - 5 = 106
e A LaTex expression showing 11y + 84 = 106
f A LaTex expression showing 5y + 7 = y
4
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 8x + 4b = 60\\b = 9\\x = ?
a A LaTex expression showing 8x + 5 = 60
b A LaTex expression showing 8x + 36 = 60
c A LaTex expression showing 8x + 9 = 60
d A LaTex expression showing 6x + 9 = x
e A LaTex expression showing 3x + 9 = x
f A LaTex expression showing 8x - 6 = 60
5
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 4p + 8d = 104\\d = 9\\p = ?
a A LaTex expression showing 4p + 72 = 104
b A LaTex expression showing 11p + 9 = p
c A LaTex expression showing 4p + 9 = 104
d A LaTex expression showing 8p + 9 = p
e A LaTex expression showing 4p + 10 = 104
f A LaTex expression showing 4p - 11 = 104
6
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 12r - 4d = 52\\d = 2\\r = ?
a A LaTex expression showing 12r + 2 = 52
b A LaTex expression showing 8r + 2 = r
c A LaTex expression showing 5r + 2 = r
d A LaTex expression showing 12r - 8 = 52
e A LaTex expression showing 12r + 8 = 52
f A LaTex expression showing 12r + 7 = 52
7
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 7r - 3p = 23\\p = 11\\r = ?
a A LaTex expression showing 7r + 33 = 23
b A LaTex expression showing 8r + 11 = r
c A LaTex expression showing 7r - 33 = 23
d A LaTex expression showing 11r + 11 = r
e A LaTex expression showing 7r + 11 = 23
f A LaTex expression showing 7r + 10 = 23